65766144 has 72 divisors (see below), whose sum is σ = 184287040. Its totient is φ = 20763648.

The previous prime is 65766143. The next prime is 65766161. The reversal of 65766144 is 44166756.

It is not an unprimeable number, because it can be changed into a prime (65766143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12339 + ... + 16845.

Almost surely, 2^65766144 is an apocalyptic number.

65766144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65766144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92143520).

65766144 is an abundant number, since it is smaller than the sum of its proper divisors (118520896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65766144 is a wasteful number, since it uses less digits than its factorization.

65766144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4545 (or 4531 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 65766144 is about 8109.6327907002. The cubic root of 65766144 is about 403.6461300217.

It can be divided in two parts, 6576 and 6144, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 65766144 in words is "sixty-five million, seven hundred sixty-six thousand, one hundred forty-four".